Metrics for Diagrams.TwoD.Layout.CirclePacking:approxRadius from diagrams-contrib-1.3.0.5

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze270.0ms (7.6%)

Memory

18.5MiB live, 344.2MiB allocated; 96ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
30.5%	30.4%	69.5%	0.1%	0%	0%	0%	10
38.3%	38.2%	61.7%	0.1%	0%	0%	0%	11
39.6%	39.6%	60.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (37.8%)

Memory

-2.6MiB live, 1 893.1MiB allocated; 246ms collecting garbage

Samples

769.0ms	4 039×	1	valid
329.0ms	4 217×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 812.0ms

ival-tan: 307.0ms (37.8% of total)

ival-sin: 215.0ms (26.5% of total)

ival-div!: 146.0ms (18% of total)

adjust: 100.0ms (12.3% of total)

ival-mult!: 44.0ms (5.4% of total)

Bogosity

explain242.0ms (6.8%)

Memory

-8.2MiB live, 251.2MiB allocated; 91ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
130	-	-	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
26	-	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	-	`x`
0	-	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	93	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	93	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	37	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	37
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	37	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	37
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	26	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	26
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	26
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	26
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	26

Confusion

	Predicted +	Predicted -
+	156	0
-	0	100

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	156	0	0
-	0	0	100

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	100
1	26
2	130

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

43.0ms	258×	1	valid
18.0ms	254×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sin: 16.0ms (37.1% of total)

ival-tan: 12.0ms (27.8% of total)

ival-div!: 8.0ms (18.6% of total)

adjust: 4.0ms (9.3% of total)

ival-mult!: 3.0ms (7% of total)

preprocess39.0ms (1.1%)

Memory

-24.2MiB live, 21.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	58	80
2	148	78
3	323	78
4	765	78
5	3003	78

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series27.0ms (0.7%)

Memory

3.1MiB live, 54.2MiB allocated; 6ms collecting garbage

Counts

8 → 37

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))

rewrite217.0ms (6.1%)

Memory

5.1MiB live, 240.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2187
0	371	1940
1	2320	1930
0	8093	1830

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

45 → 57

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
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#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
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Outputs
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(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
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#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx x x)
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#s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx y y)
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#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (.f64 #s(literal 1/2 binary64) x))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (.f64 #s(literal 1/2 binary64) x)))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 y y))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/48 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))

eval9.0ms (0.2%)

Memory: 21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 383 to 416 computations (82.5% saved)

prune12.0ms (0.3%)

Memory

-20.4MiB live, 25.1MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	48	14	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	14	63

Accuracy

58.7%

Counts

63 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.3%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	30.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
	39.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	6.5%	(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	6.4%	(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	43.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
▶	53.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 558 to 392 computations (29.7% saved)

series63.0ms (1.8%)

Memory

34.1MiB live, 132.3MiB allocated; 10ms collecting garbage

Counts

32 → 132

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (* 2 (PI)))) (* x (cos (* 2 (PI))))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))))) (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI)))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) y)))) (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* y (cos (* 2 (PI))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (+ (* 1/2 (/ x y)) (* 2 (PI)))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))))) y)) (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
11.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
10.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
8.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
6.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))

rewrite206.0ms (5.8%)

Memory

-30.4MiB live, 300.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1037	7083
0	1077	6218
1	6735	5368
0	8821	5109

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

164 → 257

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (* 2 (PI)))) (* x (cos (* 2 (PI))))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))))) (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI)))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) y)))) (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* y (cos (* 2 (PI))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (+ (* 1/2 (/ x y)) (* 2 (PI)))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
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#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))))) y)) (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))

Outputs
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (*.f64 y y)))
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(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 y y)))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 1/8 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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#s(literal 1/2 binary64)
#s(literal -1 binary64)
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(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
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(/.f64 (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64)))))
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
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(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
#s(literal 2 binary64)
(PI.f64)
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
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#s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/6 binary64) x) y))
#s(approx (sin (/ x y)) (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/6 binary64) x) (/.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) y))
#s(approx (sin (/ x y)) (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64) (/.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) x) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 y y))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/384 binary64) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 0 binary64) (.f64 y (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 0 binary64) x))) y))) y))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 0 binary64) (.f64 y (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64))))) x) #s(literal -2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x))) y) #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 0 binary64) x)))) y))) y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) y) #s(literal -1 binary64) #s(literal 0 binary64)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) (.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) #s(literal 0 binary64)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64))))) y) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x (.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) y) #s(literal -1 binary64) #s(literal 0 binary64)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/48 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (.f64 y y)))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/40320 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (.f64 y y))))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/120 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))))) y)))

eval33.0ms (0.9%)

Memory: 24.7MiB live, 80.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 166 to 1 418 computations (84.5% saved)

prune22.0ms (0.6%)

Memory

-37.9MiB live, 55.8MiB allocated; 3ms collecting garbage

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	217	22	239
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	226	27	253

Accuracy

59.6%

Counts

253 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.9%	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	6.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	43.5%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.0%	(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	41.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	41.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
▶	2.7%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	43.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
▶	53.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	53.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	50.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
▶	50.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
✓	53.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 327 to 883 computations (33.5% saved)

series164.0ms (4.6%)

Memory

29.5MiB live, 304.6MiB allocated; 61ms collecting garbage

Counts

39 → 183

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 0 binary64))
(/.f64 y x)
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (neg (* (/ x y) 1/2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (* (/ y x) 0) #s(hole binary64 0))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 1))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* (pow x 2) (+ (* 1/192 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2880 (/ (pow x 2) (pow y 6))) (* 1/192 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/645120 (/ (pow x 2) (pow y 8))) (* 1/2880 (/ 1 (pow y 6))))) (* 1/192 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* -1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* (pow x 2) (- (* -1/192 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/2880 (/ (pow x 2) (pow y 6))) (* 1/192 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -17/645120 (/ (pow x 2) (pow y 8))) (* 1/2880 (/ 1 (pow y 6))))) (* 1/192 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* (pow y 2) (- 1 (sin (* 1/2 (PI))))) (pow x 2)))))
#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (cos (* 1/2 (PI)))))) (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* 2 (* y (cos (* 1/2 (PI))))) (* x (- (sin (* 1/2 (PI))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* 2 (* y (cos (* 1/2 (PI))))) (* x (- (+ (sin (* 1/2 (PI))) (* x (- (* -1/3 (/ (cos (* 1/2 (PI))) y)) (* -5/12 (/ (cos (* 1/2 (PI))) y))))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (* y (- 1 (sin (* 1/2 (PI))))) x)))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (cos (* 1/2 (PI)))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (cos (* 1/2 (PI))) (* x (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (cos (* 1/2 (PI))) (* x (- (+ (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* (pow x 2) (- (* -1/24 (/ (sin (* 1/2 (PI))) (pow y 3))) (+ (* -1/6 (/ (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y))) (pow y 2))) (* 1/120 (/ (- 1 (sin (* 1/2 (PI)))) (pow y 3))))))) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (/ (* x (cos (* 1/2 (PI)))) y)) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* -1 (/ (cos (* 1/2 (PI))) y))))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* x (- (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))) (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))))) (* -1 (/ (cos (* 1/2 (PI))) y))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (/ (cos (* 1/2 (PI))) y)) (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (neg (/ x y)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg (/ x y)) (/ (PI) 2)) #s(hole binary64 (+ (* -1 (/ x y)) (* 1/2 (PI)))))
#s(approx (neg (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* -1 (log (cos (* 1/2 (/ x y)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (log (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (sin (- (* 1/2 (PI)) (/ x y)))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
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#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -2 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (- (sin (* 1/2 (PI))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
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#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
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#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
39.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
23.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
19.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
9.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite220.0ms (6.1%)

Memory

19.6MiB live, 207.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1302	9002
0	1357	7665
0	8301	7372

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

222 → 311

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 0 binary64))
(/.f64 y x)
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
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(-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
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#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (cos (* 1/2 (PI))) (* -1 (/ (- (+ (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/24 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 2)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI)))))))) (pow y 2))) (+ (* -1/120 (/ (* (pow x 3) (- 1 (sin (* 1/2 (PI))))) (pow y 2))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

Outputs
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) (sinh.f64 (neg.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))
(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) y)
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
#s(literal 0 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) (sinh.f64 (neg.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))
(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) (sinh.f64 (neg.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))
(.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(log.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (neg.f64 (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))
(tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
#s(literal 1 binary64)
(fma.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 (neg.f64 x) y))
(cos.f64 (/.f64 x y))
(+.f64 (.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
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#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))
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#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (.f64 #s(literal 1/2 binary64) x)))) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 y y))))))
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#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y)) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 (/.f64 (.f64 x x) y) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/24 binary64)) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) y) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y)) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 (/.f64 (.f64 x x) y) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/16 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y))) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) y) #s(literal -1/48 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) y))) y))) (.f64 y y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 3 binary64))))) y) #s(literal -1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) y))) y))) (.f64 y y)))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x))) y)))
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#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 x x)) y) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x)) y) #s(literal -1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/48 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))

eval47.0ms (1.3%)

Memory: 9.8MiB live, 57.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 205 to 1 769 computations (85.5% saved)

prune42.0ms (1.2%)

Memory

-32.4MiB live, 61.1MiB allocated; 5ms collecting garbage

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	245	20	265
Fresh	5	15	20
Picked	5	0	5
Done	0	2	2
Total	255	37	292

Accuracy

59.7%

Counts

292 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	5.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	43.5%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	5.0%	(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (tan.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	6.4%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (neg.f64 x) y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
	5.9%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 x y)))) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x y)))))
	41.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	41.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
▶	3.1%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓	43.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
▶	6.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
▶	53.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	4.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
	50.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	50.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	53.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	50.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
	50.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))
	43.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))))
	50.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
✓	53.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 305 to 1 519 computations (34.1% saved)

series70.0ms (2%)

Memory

7.5MiB live, 104.6MiB allocated; 13ms collecting garbage

Counts

43 → 220

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))
#s(literal 1/2 binary64)
(-.f64 (PI.f64) (/.f64 x y))
(PI.f64)
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) (PI.f64)))
(+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))
(-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64)))
(.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(*.f64 (PI.f64) (PI.f64))
(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y))))
#s(literal 1 binary64)
(sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))
#s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(sin.f64 (/.f64 x y))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (* 1/2 (- (PI) (/ x y))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* 1/2 (- (PI) (/ x y))) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (- (PI) (/ x y)) #s(hole binary64 (PI)))
#s(approx (- (PI) (/ x y)) #s(hole binary64 (+ (PI) (* -1 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
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#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -2 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (- (sin (* 1/2 (PI))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
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#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* 1/2 (- (PI) (/ x y))) 1/2 (- (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (/ x y) 1/2) (/ (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI)) (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (* (/ x (* 2 y)) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (* (PI) (PI)) (- (/ x (* 2 y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (/ (neg x) y) (neg x) (sin (/ x y)))
10.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* 1/2 (- (PI) (/ x y))) 1/2 (- (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (/ x y) 1/2) (/ (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI)) (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (* (/ x (* 2 y)) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (* (PI) (PI)) (- (/ x (* 2 y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (/ (neg x) y) (neg x) (sin (/ x y)))
10.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* 1/2 (- (PI) (/ x y))) 1/2 (- (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (/ x y) 1/2) (/ (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI)) (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (* (/ x (* 2 y)) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (* (PI) (PI)) (- (/ x (* 2 y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (/ (neg x) y) (neg x) (sin (/ x y)))
10.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* 1/2 (- (PI) (/ x y))) 1/2 (- (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (/ x y) 1/2) (/ (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI)) (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (* (/ x (* 2 y)) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (* (PI) (PI)) (- (/ x (* 2 y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (/ (neg x) y) (neg x) (sin (/ x y)))
10.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* 1/2 (- (PI) (/ x y))) 1/2 (- (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (/ x y) 1/2) (/ (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI)) (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (* (/ x (* 2 y)) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (* (PI) (PI)) (- (/ x (* 2 y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (/ (neg x) y) (neg x) (sin (/ x y)))

rewrite191.0ms (5.4%)

Memory

21.4MiB live, 296.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1632	14558
0	1681	13508
0	8058	13105

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

263 → 302

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))
#s(literal 1/2 binary64)
(-.f64 (PI.f64) (/.f64 x y))
(PI.f64)
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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(+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))
(-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64)))
(.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
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(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))
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(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y)))
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#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) x))))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))) y))) y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x))))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 y y)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (.f64 y y)) (fma.f64 #s(literal -1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))))) y))) y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) x))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y)) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) y)) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) y))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) (-.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) (-.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) y))))
#s(approx (sin (/ x y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))))) y)))
#s(approx (sin (/ x y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))))) y)))

eval48.0ms (1.3%)

Memory: -2.9MiB live, 98.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 19 525 to 2 267 computations (88.4% saved)

prune37.0ms (1%)

Memory

-11.4MiB live, 82.8MiB allocated; 3ms collecting garbage

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	287	12	299
Fresh	6	24	30
Picked	3	2	5
Done	0	2	2
Total	296	40	336

Accuracy

59.7%

Counts

336 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	5.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	43.5%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.7%	(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (PI.f64) (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.2%	(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) #s(approx (- (/ x (* 2 y)) (PI)) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.7%	(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) #s(approx (- (/ x (* 2 y)) (PI)) (.f64 #s(literal -1 binary64) (PI.f64)))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (tan.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	2.5%	(/.f64 #s(approx (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (tan.f64 (-.f64 (-.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (PI.f64)))))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	6.4%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (neg.f64 x) y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
	41.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	41.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
✓	3.1%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓	43.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (PI.f64) (/.f64 x y)))))))) #s(literal -1 binary64)))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (PI.f64) (/.f64 x y)))))) #s(literal -1 binary64)))
	50.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	50.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	6.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
	53.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	53.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	4.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (sin.f64 #s(approx (+ ( (/ x y) 1/2) (/ (PI) 2)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ ( (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (sin.f64 #s(approx (+ (neg ( (/ x y) 1/2)) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ (neg ( (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1/2 binary64))))
	50.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
	50.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))
	43.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
	50.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
✓	53.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 568 to 1 301 computations (63.5% saved)

regimes96.0ms (2.7%)

Memory

-4.5MiB live, 186.2MiB allocated; 19ms collecting garbage

Counts

69 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (PI.f64) (/.f64 x y)))))) #s(literal -1 binary64)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) #s(approx (- (/ x (* 2 y)) (PI)) (.f64 #s(literal -1 binary64) (PI.f64)))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (tan (+ (/ (- (* (/ x (* 2 y)) (/ x (* 2 y))) (* (PI) (PI))) (- (/ x (* 2 y)) (PI))) (PI))) (tan.f64 (-.f64 (-.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (PI.f64)))))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 x y)))) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (neg.f64 x) y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) #s(approx (- (/ x (* 2 y)) (PI)) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (sin.f64 #s(approx (+ ( (/ x y) 1/2) (/ (PI) 2)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ ( (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (sin.f64 #s(approx (+ (neg ( (/ x y) 1/2)) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ (neg ( (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (PI.f64) (/.f64 x y)))))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) (fma.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (PI.f64) (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Outputs

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

5 calls:

24.0ms	y
18.0ms	(*.f64 y #s(literal 2 binary64))
17.0ms	x
17.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
16.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
53.8%	1	`(*.f64 y #s(literal 2 binary64))`
55.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
53.8%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
53.8%	1	`x`
53.8%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.2%)

Memory

16.6MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))

Outputs

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

1 calls:

6.0ms

(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
55.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Accuracy

Total -33.7b remaining (-113.9%)

Threshold costs -33.7b (-113.9%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4916425512167818e+28	1.0508006080100742e+29

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4916425512167818e+28	1.0508006080100742e+29

Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations112.0ms (3.1%)

Memory

-17.1MiB live, 128.0MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 135 to 43 computations (68.1% saved)

preprocess39.0ms (1.1%)

Memory

-15.7MiB live, 78.6MiB allocated; 7ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 900 to 446 computations (50.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze270.0ms (7.6%)

sample1.4s (37.8%)

explain242.0ms (6.8%)

preprocess39.0ms (1.1%)

series27.0ms (0.7%)

rewrite217.0ms (6.1%)

eval9.0ms (0.2%)

prune12.0ms (0.3%)

series63.0ms (1.8%)

rewrite206.0ms (5.8%)

eval33.0ms (0.9%)

prune22.0ms (0.6%)

series164.0ms (4.6%)

rewrite220.0ms (6.1%)

eval47.0ms (1.3%)

prune42.0ms (1.2%)

series70.0ms (2%)

rewrite191.0ms (5.4%)

eval48.0ms (1.3%)

prune37.0ms (1%)

regimes96.0ms (2.7%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations112.0ms (3.1%)

preprocess39.0ms (1.1%)

end0.0ms (0%)

Profiling